Final answer:
The value that is +1.5 standard deviations from the mean is calculated by multiplying the standard deviation (5) by 1.5 and adding that to the mean (35), giving us a value of 42.5.
Step-by-step explanation:
The student's question concerns finding a value that is a specific number of standard deviations away from the mean in a normal distribution. If a distribution has a mean of 35 and a standard deviation of 5, to find the value that is +1.5 standard deviations from the mean, you multiply the standard deviation by 1.5 and add the result to the mean:
(Standard Deviation) * (Number of Standard Deviations) + (Mean) = Value
(5) * (1.5) + (35) = 7.5 + 35 = 42.5
Therefore, the value that is +1.5 standard deviations from the mean is 42.5.